| A characteristic space-time conservation element and solution element method for conservation laws | |
Shen H; Wen CY; Zhang DL(张德良) ; Wen, CY (reprint author), Hong Kong Polytech Univ, Dept Mech Engn, Kowloon, Hong Kong, Peoples R China.
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| Source Publication | JOURNAL OF COMPUTATIONAL PHYSICS
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| 2015-05-01 | |
| Volume | 288Pages:101-118 |
| ISSN | 0021-9991 |
| Abstract | In this paper, an upwind space-time conservation elementand solution element(CE/SE) method is developed to solve conservation laws. In the present method, the mesh quantity and spatial derivatives are the independent marching variables, which is consistent with the original CE/SE method proposed by Chang (1995) [5]. The staggered time marching strategy and the definition of conservation element (CE) also follow Chang's propositions. Nevertheless, the definition of solution element (SE) is modified from that of Chang. The numerical flux through the interface of two different conservation elements is not directly derived by a Taylor expansion in the reversed time direction as proposed by Chang, but determined by an upwind procedure. This modification does not change the local and global conservative features of the original method. Although, the time marching scheme of mesh variables is the same with the original method, the upwind fluxes are involved in the calculation of spatial derivatives, yielding a totally different approach from that of Chang's method. The upwind procedure breaks the space-time inversion invariance of the original scheme, so that the new scheme can be directly applied to capture discontinuities without spurious oscillations. In addition, the present method maintains low dissipation in a wide range of CFL number (from 10(-6) to 1). Furthermore, we extend the upwind CE/SE method to solve the Euler equations by adopting three different approximate Riemann solvers including Harten, Lax and van Leer (HLL) Riemann solver, contact discontinuity restoring HLLC Riemann solver and mathematically rigorous Roe Riemann solver. Extensive numerical examples are carried out to demonstrate the robustness of the present method. The numerical results show that the new CE/SE solvers perform improved resolutions. (C) 2015 Elsevier Inc. Allrightsreserved. |
| Keyword | Space-time Conservation Element And Solution Element (Ce/se) Method Upwind Scheme Characteristic-based Scheme Riemann Solver |
| Subject Area | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| DOI | 10.1016/j.jcp.2015.02.018 |
| URL | 查看原文 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000351079900006 |
| WOS Keyword | GODUNOV-TYPE METHODS ; DIFFERENCE SCHEME ; EULER EQUATIONS ; SYSTEMS ; FLOWS |
| WOS Research Area | Computer Science ; Physics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| Funding Organization | Research Grants Council, Hong Kong [GRF 526913] ; Department of Mechanical Engineering, The Hong Kong Polytechnic University under Departmental General Research Fund [4-ZZE8] ; National Natural Science Foundation of China [11372265] |
| Department | LHD激波与爆轰物理 |
| Classification | 一类 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/49916 |
| Collection | 高温气体动力学国家重点实验室 |
| Corresponding Author | Wen, CY (reprint author), Hong Kong Polytech Univ, Dept Mech Engn, Kowloon, Hong Kong, Peoples R China. |
| Recommended Citation GB/T 7714 | Shen H,Wen CY,Zhang DL,et al. A characteristic space-time conservation element and solution element method for conservation laws[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2015,288:101-118. |
| APA | Shen H,Wen CY,张德良,&Wen, CY .(2015).A characteristic space-time conservation element and solution element method for conservation laws.JOURNAL OF COMPUTATIONAL PHYSICS,288,101-118. |
| MLA | Shen H,et al."A characteristic space-time conservation element and solution element method for conservation laws".JOURNAL OF COMPUTATIONAL PHYSICS 288(2015):101-118. |
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| IMCAS-J2015-059.pdf（3337KB） | 开放获取 | CC BY-NC | View Download | |||
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